Download Haverhill High School Trigonometry Curriculum Map

Haverhill High School
Trigonometry
Curriculum Map
Trigonometry
Table of Contents
Term 1
1
2
Trigonometric Functions
Trigonometric Identities and Equations
Term 2
3
4
5
6
Right Triangle Trigonometry
Laws of Sines and Cosines
Trigonometric Applications
Vectors
TERM 1
Topic: Trigonometric Functions
Trigonometric Functions
Radians, Cofunctions
Function Values
Trigonometric Function Graphs
Trigonometric Function Relationships
Trigonometric Identities
Addison Wesley: Algebra and Trigonometry - Chapter 17
Learning Standards:
1. Demonstrate an understanding of the trigonometric, exponential, and
logarithmic functions. (12.P.4)
2. Solve a variety of equations and inequalities using algebraic, graphical
and numerical methods, including the quadratic formula; use technology
where appropriate. Include polynomial, exponential, logarithmic, and
trigonometric functions; expressions involving absolute values;
trigonometric relations; and simple rational expressions. (12.P.8)
3. Solve everyday problems that can be modeled using polynomial,
rational, exponential, logarithmic, trigonometric, and step functions,
absolute values, and square roots. Apply appropriate graphical, tabular,
or symbolic methods to the solution. (12.P.11)
4. Define the sine, cosine, and tangent of an acute angle. Apply to the
solution of problems. (12.G.1)
5. Derive and apply basic trigonometric identities and the laws of sines
and cosines. (12.G.2)
6. Describe the relationship between degrees and radian measures, and
use radian measure in the solution of problems, in particular, problems
involving angular velocity and acceleration. (12.M.1)
Instructional Activities:
Assessment:
Addison Wesley - CP
Addison Wesley - CP
A. Direct Instruction
B. Cooperative Learning
C. Study Guides
D. Technology Integration
E. Textbook Activities
F. Activity Worksheets
G. Chapter Review
H. Practice Assessment
I. Math Skills/Techniques
J. Spiral Activities
A.
B.
C.
D.
E.
F.
Multi-Section Quiz
Chapter Test
Classwork Assessment
Homework Assessment
Project Assessment
Portfolio Assessment
TERM 1
Topic: Trigonometric Identities and Equations
Trigonometric Identities
Trigonometric Equations
Inverse Trigonometric Functions
Addison Wesley: Algebra and Trigonometry - Chapter 18
Learning Standards:
1. Demonstrate an understanding of the trigonometric, exponential, and
logarithmic functions. (12.P.4)
2. Solve a variety of equations and inequalities using algebraic, graphical,
and numerical methods, including the quadratic formula; use
technology
where appropriate. Include polynomial, exponential,
logarithmic, and
trigonometric functions; expressions involving
absolute values;
trigonometric relations; and simple rational
expressions. (12.P.8)
3. Solve everyday problems that can be modeled using polynomial,
rational, exponential, logarithmic, trigonometric, and step functions,
absolute values, and square roots. Apply appropriate graphical, tabular,
or symbolic methods to the solution. (12.P.11)
4. Define the sine, cosine, and tangent of an acute angle. Apply to the
solution of problems. (12.G.1)
5. Derive and apply basic trigonometric identities and the laws of sines
and cosines. (12.G.2)
Instructional Activities:
Assessment:
Addison Wesley - CP
Addison Wesley - CP
A. Direct Instruction
B. Cooperative Learning
C. Study Guides
D. Technology Integration
E. Textbook Activities
F. Activity Worksheets
G. Chapter Review
H. Practice Assessment
I. Math Skills/Techniques
J. Spiral Activities
A.
B.
C.
D.
E.
F.
Multi-Section Quiz
Chapter Test
Classwork Assessment
Homework Assessment
Project Assessment
Portfolio Assessment
TERM 2
Topic: Right Triangle Trigonometry
Right Triangle Trigonometric Relationships
Trigonometric Values
Addison Wesley: Algebra and Trigonometry - Chapter 18
Learning Standards:
1. Demonstrate an understanding of the trigonometric, exponential, and
logarithmic functions. (12.P.4)
2. Solve a variety of equations and inequalities using algebraic, graphical,
and numerical methods, including the quadratic formula; use
technology
where appropriate. Include polynomial, exponential,
logarithmic, and
trigonometric functions; expressions involving
absolute values;
trigonometric relations; and simple rational
expressions. (12.P.8)
3. Solve everyday problems that can be modeled using polynomial,
rational, exponential, logarithmic, trigonometric, and step functions,
absolute values, and square roots. Apply appropriate graphical, tabular,
or symbolic methods to the solution. (12.P.11)
4. Define the sine, cosine, and tangent of an acute angle. Apply to the
solution of problems. (12.G.1)
Instructional Activities:
Assessment:
Addison Wesley - CP
Addison Wesley - CP
A. Direct Instruction
B. Cooperative Learning
C. Study Guides
D. Technology Integration
E. Textbook Activities
F. Activity Worksheets
G. Chapter Review
H. Practice Assessment
I. Math Skills/Techniques
J. Spiral Activities
A.
B.
C.
D.
E.
F.
Multi-Section Quiz
Chapter Test
Classwork Assessment
Homework Assessment
Project Assessment
Portfolio Assessment
TERM 2
Topic: Right Triangle Trigonometry
Law of Sines
Law of Cosines
Addison Wesley: Algebra and Trigonometry - Chapter 18
Learning Standards:
1. Demonstrate an understanding of the trigonometric, exponential, and
logarithmic functions. (12.P.4)
2. Solve a variety of equations and inequalities using algebraic, graphical,
and numerical methods, including the quadratic formula; use
technology
where appropriate. Include polynomial, exponential,
logarithmic, and
trigonometric functions; expressions involving
absolute values;
trigonometric relations; and simple rational
expressions. (12.P.8)
3. Solve everyday problems that can be modeled using polynomial,
rational, exponential, logarithmic, trigonometric, and step functions,
absolute values, and square roots. Apply appropriate graphical, tabular,
or symbolic methods to the solution. (12.P.11)
4. Define the sine, cosine, and tangent of an acute angle. Apply to the
solution of problems. (12.G.1)
Instructional Activities:
Assessment:
Addison Wesley - CP
Addison Wesley - CP
A. Direct Instruction
B. Cooperative Learning
C. Study Guides
D. Technology Integration
E. Textbook Activities
F. Activity Worksheets
G. Chapter Review
H. Practice Assessment
I. Math Skills/Techniques
J. Spiral Activities
A.
B.
C.
D.
E.
F.
Multi-Section Quiz
Chapter Test
Classwork Assessment
Homework Assessment
Project Assessment
Portfolio Assessment
TERM 2
Topic: Triangle Trigonometric Applications
Triangle Trigonometric Applications
Addison Wesley: Algebra and Trigonometry - Chapter 18
Learning Standards:
1. Demonstrate an understanding of the trigonometric, exponential, and
logarithmic functions. (12.P.4)
2. Solve a variety of equations and inequalities using algebraic, graphical,
and numerical methods, including the quadratic formula; use
technology
where appropriate. Include polynomial, exponential,
logarithmic, and
trigonometric functions; expressions involving
absolute values;
trigonometric relations; and simple rational
expressions. (12.P.8)
3. Solve everyday problems that can be modeled using polynomial,
rational, exponential, logarithmic, trigonometric, and step functions,
absolute values, and square roots. Apply appropriate graphical, tabular,
or symbolic methods to the solution. (12.P.11)
4. Define the sine, cosine, and tangent of an acute angle. Apply to the
solution of problems. (12.G.1)
Instructional Activities:
Assessment:
Addison Wesley - CP
Addison Wesley - CP
A. Direct Instruction
B. Cooperative Learning
C. Study Guides
D. Technology Integration
E. Textbook Activities
F. Activity Worksheets
G. Chapter Review
H. Practice Assessment
I. Math Skills/Techniques
A.
B.
C.
D.
E.
F.
Multi-Section Quiz
Chapter Test
Classwork Assessment
Homework Assessment
Project Assessment
Portfolio Assessment
J. Spiral Activities